Change in volume due to increase of temperature (∆T) is given by ∆V=αVV∆T . . . (i) where, αV= coefficient of volume expansion and V= initial volume of gas. For an ideal gas, we know that pV=nRT . . . (ii) ⇒‌‌p∆V=nR∆T⇒∆V=‌
nR∆T
p
. . . (iii) From Eqs. (i) and (iii), we get αV⋅V∆T=‌